Metrics for tanhf (example 3.4)

analyze120.0ms (1.4%)

Memory

7.2MiB live, 155.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.8s (20.7%)

Memory

65.2MiB live, 1 775.5MiB allocated

Samples

646.0ms	2 254×	2	valid
460.0ms	4 142×	0	valid
275.0ms	650×	3	valid
181.0ms	1 207×	1	valid
3.0ms	3×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-cos: 722.0ms (56.1% of total)

ival-sin: 184.0ms (14.3% of total)

ival-div: 144.0ms (11.2% of total)

adjust: 136.0ms (10.6% of total)

ival-sub: 84.0ms (6.5% of total)

exact: 9.0ms (0.7% of total)

ival-true: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess52.0ms (0.6%)

Memory

-33.5MiB live, 64.0MiB allocated

Algorithm

2×	egg-herbie

Rules

204×	`accelerator-lowering-fma.f32`
204×	`accelerator-lowering-fma.f64`
140×	`-lowering-.f32`
140×	`-lowering-.f64`
110×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- 1 (cos x)) (sin x))

Outputs
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))

Call 2

Inputs
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))

Outputs
(/ (- 1 (cos x)) (sin x))
(tan (* x 1/2))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(tan (* x -1/2))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))
(tan (* x 1/2))

Symmetry

(negabs x)

explain208.0ms (2.3%)

Memory

3.1MiB live, 159.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
82	2	(3.691217760668052e+215)	0	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
50	0	-	6	(3.212764708678335e-155)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	84	6
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`	u/n	44	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	44

Confusion

	Predicted +	Predicted -
+	126	0
-	2	128

Precision

0.984375

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	0
-	2	6	122

Precision?

0.9402985074626866

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

56.0ms	122×	2	valid
30.0ms	274×	0	valid
11.0ms	36×	3	valid
8.0ms	80×	1	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-cos: 61.0ms (69.1% of total)

ival-sin: 12.0ms (13.6% of total)

ival-div: 6.0ms (6.8% of total)

ival-sub: 5.0ms (5.7% of total)

adjust: 4.0ms (4.5% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify26.0ms (0.3%)

Memory

34.8MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	6528	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Rules

204×	`accelerator-lowering-fma.f32`
204×	`accelerator-lowering-fma.f64`
140×	`-lowering-.f32`
140×	`-lowering-.f64`
82×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	16	14
2	22	14
3	33	14
4	54	14
5	77	14
6	110	14
7	184	14
8	307	14
9	515	14
10	557	14
11	560	14
12	568	14
13	574	14
14	578	14
15	585	14
16	592	14
17	593	14
0	593	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
1
(cos x)
x
(sin x)

Outputs
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(sin x)
(sin.f64 x)

localize55.0ms (0.6%)

Memory

-7.4MiB live, 68.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	83.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
✓	accuracy	72.6%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

18.0ms	61×	2	valid
18.0ms	137×	0	valid
6.0ms	18×	3	valid
4.0ms	40×	1	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-cos: 21.0ms (57.9% of total)

ival-sin: 8.0ms (22.1% of total)

ival-div: 3.0ms (8.3% of total)

adjust: 2.0ms (5.5% of total)

ival-sub: 2.0ms (5.5% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (sin x)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (- 1 (cos x)) (sin x))
1.0ms	x	@	inf	(/ (- 1 (cos x)) (sin x))
0.0ms	x	@	0	(/ (- 1 (cos x)) (sin x))
0.0ms	x	@	0	(cos x)
0.0ms	x	@	0	(- 1 (cos x))

rewrite375.0ms (4.2%)

Memory

-2.4MiB live, 470.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 606×	`-lowering-.f32`
4 606×	`-lowering-.f64`
3 722×	`/-lowering-/.f32`
3 722×	`/-lowering-/.f64`
2 028×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	35	12
2	241	12
3	2351	11
0	8884	11

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 615

Calls

Call 1

Inputs
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
(cos x)
(sin x)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (cos.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(+.f64 (.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (cos.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
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(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))

simplify501.0ms (5.6%)

Memory

-1.8MiB live, 784.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 148×	`accelerator-lowering-fma.f32`
19 148×	`accelerator-lowering-fma.f64`
3 796×	`-lowering-.f32`
3 796×	`-lowering-.f64`
3 232×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	286
1	224	286
2	555	280
3	1656	280
4	3000	280
5	4243	280
6	4592	280
7	5323	280
8	6815	280
0	8390	256

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)

Outputs
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(* 1/2 (pow x 2))
(/.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

eval102.0ms (1.1%)

Memory: 24.7MiB live, 144.7MiB allocated
Compiler: Compiled 15 035 to 1 657 computations (89% saved)

prune250.0ms (2.8%)

Memory

9.2MiB live, 124.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	659	4	663
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	660	4	664

Accuracy

100.0%

Counts

664 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
▶	48.7%	(/.f64 x #s(literal 2 binary64))
▶	48.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
▶	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify13.0ms (0.1%)

Memory

-32.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6464	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
24×	`accelerator-lowering-fma.f32`
24×	`accelerator-lowering-fma.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	26	44
2	41	44
3	44	44
0	44	42

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(tan (/ x 2))
(/ x 2)
x
2
(* x (+ 1/2 (* 1/24 (* x x))))
x
(+ 1/2 (* 1/24 (* x x)))
1/2
(* 1/24 (* x x))
1/24
(* x x)
(/ x 2)
x
2
(pow 1 -1/2)
1
-1/2

Outputs
(tan (/ x 2))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* x (+ 1/2 (* 1/24 (* x x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
x
(+ 1/2 (* 1/24 (* x x)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
1/2
#s(literal 1/2 binary64)
(* 1/24 (* x x))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
1/24
#s(literal 1/24 binary64)
(* x x)
(*.f64 x x)
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(pow 1 -1/2)
#s(literal 1 binary64)
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)

localize48.0ms (0.5%)

Memory

7.2MiB live, 81.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	accuracy	99.7%	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Samples

30.0ms

256×

valid

Compiler

Compiled 48 to 15 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-tan: 5.0ms (24.7% of total)

ival-mult: 4.0ms (19.8% of total)

ival-div: 3.0ms (14.8% of total)

const: 3.0ms (14.8% of total)

ival-pow: 2.0ms (9.9% of total)

ival-add: 1.0ms (4.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

7 → 72

Calls

Call 1

Inputs
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (* x (+ 1/2 (* 1/24 (* x x))))>
#<alt (+ 1/2 (* 1/24 (* x x)))>
#<alt (* 1/24 (* x x))>
#<alt (* x x)>
#<alt (pow 1 -1/2)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ x 2)
1.0ms	x	@	inf	(* x (+ 1/2 (* 1/24 (* x x))))
0.0ms	x	@	-inf	(tan (/ x 2))
0.0ms	x	@	inf	(tan (/ x 2))
0.0ms	x	@	0	(* x (+ 1/2 (* 1/24 (* x x))))

rewrite431.0ms (4.8%)

Memory

-1.8MiB live, 621.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 928×	`accelerator-lowering-fma.f32`
7 928×	`accelerator-lowering-fma.f64`
4 610×	`-lowering-.f32`
4 610×	`-lowering-.f64`
3 334×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	58	32
2	298	32
3	2193	32
0	8193	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 282

Calls

Call 1

Inputs
(tan (/ x 2))
(/ x 2)
(* x (+ 1/2 (* 1/24 (* x x))))
(+ 1/2 (* 1/24 (* x x)))
(* 1/24 (* x x))
(* x x)
(pow 1 -1/2)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (tan.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64))))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64))))))
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64)))
(-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) x (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))))
(.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/191102976 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/512 binary64) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/191102976 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))))
(exp.f64 (log.f64 (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(pow.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(.f64 x (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(.f64 x (exp.f64 (log.f64 (.f64 x #s(literal 1/24 binary64)))))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/24 binary64))))
(.f64 (.f64 x #s(literal 1/24 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)) x)
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 1/24 binary64)))) x)
(.f64 (exp.f64 (log.f64 #s(literal 1/24 binary64))) (.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
#s(literal 1 binary64)

simplify350.0ms (3.9%)

Memory

-35.3MiB live, 373.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 696×	`-lowering-.f32`
5 696×	`-lowering-.f64`
4 508×	`accelerator-lowering-fma.f32`
4 508×	`accelerator-lowering-fma.f64`
2 714×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	420
1	103	420
2	269	420
3	634	420
4	1202	420
5	2864	420
6	3605	420
7	4176	420
8	4524	420
9	4974	420
10	5528	420
11	6244	420
12	6566	420
13	6776	420
14	6904	420
15	7038	420
16	7177	420
0	8078	396

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval45.0ms (0.5%)

Memory: 20.7MiB live, 97.1MiB allocated
Compiler: Compiled 9 766 to 930 computations (90.5% saved)

prune45.0ms (0.5%)

Memory

7.2MiB live, 87.0MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	390	5	395
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	391	8	399

Accuracy

100.0%

Counts

399 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.7%	(/.f64 x #s(literal 2 binary64))
▶	48.8%	(-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
▶	47.8%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
✓	48.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
▶	48.1%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
▶	47.9%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
▶	7.7%	#s(literal 1 binary64)

Compiler

Compiled 419 to 170 computations (59.4% saved)

simplify419.0ms (4.7%)

Memory

-6.9MiB live, 625.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))))
✓	cost-diff	(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))))
✓	cost-diff	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
✓	cost-diff	(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
✓	cost-diff	(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	cost-diff	(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
✓	cost-diff	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	cost-diff	(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))
✓	cost-diff	(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))
✓	cost-diff	(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
✓	cost-diff	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	cost-diff	(*.f64 x #s(literal 1/24 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	cost-diff	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	cost-diff	(-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))

Rules

10 668×	`accelerator-lowering-fma.f32`
10 668×	`accelerator-lowering-fma.f64`
5 064×	`+-lowering-+.f64`
5 064×	`+-lowering-+.f32`
4 920×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	749
1	165	661
2	620	661
3	2849	661
4	4771	661
0	8023	590

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* x (* x (* x 1/24))) (/ x -2))
(* x (* x (* x 1/24)))
x
(* x (* x 1/24))
(* x 1/24)
1/24
(/ x -2)
-2
1
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
x
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(+ 1/4 (* (* x (* x (* x x))) -1/576))
1/4
(* (* x (* x (* x x))) -1/576)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
-1/576
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
1/8
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(* 1/13824 (* x (* x x)))
1/13824
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(+ (* (* x x) 1/576) 1/48)
(* (* x x) 1/576)
1/576
1/48
(* x (* (/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))
x
(* (/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48))))
(/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
1/8
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(* 1/13824 (* x (* x x)))
1/13824
(* x (* x x))
(* x x)
(- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))
1/16
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))
(* (* x x) (- (* (* x x) 1/576) 1/48))
(- (* (* x x) 1/576) 1/48)
(* (* x x) 1/576)
1/576
1/48
(- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))
1/4
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))
(/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))))
(* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
x
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
1/8
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(* 1/13824 (* x (* x x)))
1/13824
(* x (* x x))
(* x x)
(+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))
1/64
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))
(* (* x x) (- (* (* x x) 1/576) 1/48))
(- (* (* x x) 1/576) 1/48)
(* (* x x) 1/576)
1/576
1/48
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))
(+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)))
1/16
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))
(- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)
1/4

Outputs
(- (* x (* x (* x 1/24))) (/ x -2))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (/.f64 x #s(literal 2 binary64)))
(* x (* x (* x 1/24)))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
x
(* x (* x 1/24))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(/.f64 (.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)))))
x
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)))))
(+ 1/4 (* (* x (* x (* x x))) -1/576))
(-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))))
1/4
#s(literal 1/4 binary64)
(* (* x (* x (* x x))) -1/576)
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-1/576
#s(literal -1/576 binary64)
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))))
1/8
#s(literal 1/8 binary64)
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))
(* 1/13824 (* x (* x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
1/13824
#s(literal 1/13824 binary64)
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))
(+ (* (* x x) 1/576) 1/48)
(+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))
(* (* x x) 1/576)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
1/576
#s(literal 1/576 binary64)
1/48
#s(literal 1/48 binary64)
(* x (* (/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))))))))
x
(* (/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48))))
(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/16 binary64) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))
(/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/16 binary64) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))))))))
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))
1/8
#s(literal 1/8 binary64)
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))
(* 1/13824 (* x (* x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
1/13824
#s(literal 1/13824 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))
(+.f64 #s(literal 1/16 binary64) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))))
1/16
#s(literal 1/16 binary64)
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))
(.f64 x (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))))
(* (* x x) (- (* (* x x) 1/576) 1/48))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))
(- (* (* x x) 1/576) 1/48)
(+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))
(* (* x x) 1/576)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
1/576
#s(literal 1/576 binary64)
1/48
#s(literal 1/48 binary64)
(- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))))
1/4
#s(literal 1/4 binary64)
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64)))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))))))
(/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))))))
(* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))
x
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))
1/8
#s(literal 1/8 binary64)
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))
(* 1/13824 (* x (* x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
1/13824
#s(literal 1/13824 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))
(+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))))
1/64
#s(literal 1/64 binary64)
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))
(.f64 (.f64 x x) (.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))))
(* (* x x) (- (* (* x x) 1/576) 1/48))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))
(- (* (* x x) 1/576) 1/48)
(+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))
(* (* x x) 1/576)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
1/576
#s(literal 1/576 binary64)
1/48
#s(literal 1/48 binary64)
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))
(.f64 x (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))))
(+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)))
(+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64)))))
1/16
#s(literal 1/16 binary64)
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))
(.f64 (.f64 x x) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64))))
(- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64))
1/4
#s(literal 1/4 binary64)

localize237.0ms (2.7%)

Memory

4.3MiB live, 245.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	99.1%	(.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	59.6%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
✓	accuracy	50.5%	(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	99.1%	(.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	68.2%	(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
✓	accuracy	52.3%	(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	99.1%	(.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	68.2%	(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
✓	accuracy	55.2%	(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))
✓	accuracy	100.0%	(-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))

Samples

108.0ms

256×

valid

Compiler

Compiled 935 to 51 computations (94.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 38.0ms (47.2% of total)

ival-add: 14.0ms (17.4% of total)

const: 14.0ms (17.4% of total)

ival-div: 6.0ms (7.4% of total)

ival-sub: 6.0ms (7.4% of total)

exact: 1.0ms (1.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

11.0MiB live, 46.6MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (- (* x (* x (* x 1/24))) (/ x -2))>
#<alt (* x (* x (* x 1/24)))>
#<alt (* x (* x 1/24))>
#<alt (* x 1/24)>
#<alt (* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))>
#<alt (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))>
#<alt (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))>
#<alt (+ 1/4 (* (* x (* x (* x x))) -1/576))>
#<alt (* x (* (/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))>
#<alt (* (/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48))))>
#<alt (/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))>
#<alt (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))>
#<alt (* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))>
#<alt (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))))>
#<alt (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))>
#<alt (* 1/13824 (* x (* x x)))>
#<alt (* (* x x) 1/576)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* -1/72 (pow x 4)))>
#<alt (+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))>
#<alt (+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (* -1/576 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* -1/576 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/72 (pow x 4)))>
#<alt (+ 2 (* (pow x 4) (+ 1/72 (* -1/864 (pow x 2)))))>
#<alt (+ 2 (* (pow x 4) (+ 1/72 (* (pow x 2) (- (* 1/5184 (pow x 2)) 1/864)))))>
#<alt (/ -24 (pow x 2))>
#<alt (* -1 (/ (+ 24 (* 576 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 576 (* 10368 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 10368 (* 207360 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 576 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (* -1 (/ (+ 24 (* 576 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 576 (* 10368 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 10368 (* 207360 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 576 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 1/8>
#<alt (+ 1/8 (* 1/13824 (pow x 6)))>
#<alt (+ 1/8 (* 1/13824 (pow x 6)))>
#<alt (+ 1/8 (* 1/13824 (pow x 6)))>
#<alt (* 1/13824 (pow x 6))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/13824 (pow x 6))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 8 x)>
#<alt (* x (+ 8 (* 1/108 (pow x 6))))>
#<alt (* x (+ 8 (* (pow x 6) (+ 1/108 (* -1/864 (pow x 2))))))>
#<alt (* x (+ 8 (* (pow x 6) (+ 1/108 (* (pow x 2) (- (* 1/10368 (pow x 2)) 1/864))))))>
#<alt (/ 13824 (pow x 5))>
#<alt (/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (/ 11943936 (pow x 4)))) (pow x 5))>
#<alt (/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (+ (* 262766592 (/ 1 (pow x 6))) (/ 11943936 (pow x 4))))) (pow x 5))>
#<alt (/ 13824 (pow x 5))>
#<alt (/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5)))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))>
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))>
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))>
#<alt (* 1/13824 (pow x 7))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/13824 (pow x 7))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>

Calls

51 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* x (* (/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))
2.0ms	x	@	0	(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
2.0ms	x	@	inf	(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))
2.0ms	x	@	inf	(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
1.0ms	x	@	0	(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))

rewrite535.0ms (6%)

Memory

-0.6MiB live, 901.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 680×	`-lowering-.f32`
4 680×	`-lowering-.f64`
4 390×	`/-lowering-/.f32`
4 390×	`/-lowering-/.f64`
3 494×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	359
1	315	307
2	3032	307
0	8458	275

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 671

Calls

Call 1

Inputs
(- (* x (* x (* x 1/24))) (/ x -2))
(* x (* x (* x 1/24)))
(* x (* x 1/24))
(* x 1/24)
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(+ 1/4 (* (* x (* x (* x x))) -1/576))
(* x (* (/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))
(* (/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48))))
(/ (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) (- 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))
(/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))))
(* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(* 1/13824 (* x (* x x)))
(* (* x x) 1/576)

Outputs
(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(-.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (.f64 (/.f64 x #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))) (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (.f64 (/.f64 x #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (/.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x (/.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (.f64 (/.f64 x #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 x #s(literal 2 binary64))))))
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(/.f64 (.f64 x (+.f64 #s(literal 1/512 binary64) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/191102976 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) x) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/191102976 binary64))) x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x #s(literal 1/8 binary64))) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/512 binary64) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/191102976 binary64))))) (+.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) x)) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/191102976 binary64))) x)) (+.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/13824 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
(.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x #s(literal 1/13824 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 #s(literal 1/13824 binary64) (*.f64 x x)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/13824 binary64)) x) x)
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/576 binary64)) x)

simplify594.0ms (6.7%)

Memory

15.3MiB live, 530.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 142×	`accelerator-lowering-fma.f32`
7 142×	`accelerator-lowering-fma.f64`
4 086×	`-lowering-.f32`
4 086×	`-lowering-.f64`
1 872×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1516
1	432	1516
2	1026	1507
3	2340	1506
4	5837	1506
0	8210	1407

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
2
(+ 2 (* -1/72 (pow x 4)))
(+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))
(+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))
(/ 24 (pow x 2))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
(/ 24 (pow x 2))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
1/4
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* -1/576 (pow x 4)))
(* -1/576 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* -1/576 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
2
(+ 2 (* 1/72 (pow x 4)))
(+ 2 (* (pow x 4) (+ 1/72 (* -1/864 (pow x 2)))))
(+ 2 (* (pow x 4) (+ 1/72 (* (pow x 2) (- (* 1/5184 (pow x 2)) 1/864)))))
(/ -24 (pow x 2))
(* -1 (/ (+ 24 (* 576 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 576 (* 10368 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))
(/ (- (* -1 (/ (+ 10368 (* 207360 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 576 (/ 1 (pow x 2))))) (pow x 2))
(/ -24 (pow x 2))
(* -1 (/ (+ 24 (* 576 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 576 (* 10368 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))
(/ (- (* -1 (/ (+ 10368 (* 207360 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 576 (/ 1 (pow x 2))))) (pow x 2))
1/8
(+ 1/8 (* 1/13824 (pow x 6)))
(+ 1/8 (* 1/13824 (pow x 6)))
(+ 1/8 (* 1/13824 (pow x 6)))
(* 1/13824 (pow x 6))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/13824 (pow x 6))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 8 x)
(* x (+ 8 (* 1/108 (pow x 6))))
(* x (+ 8 (* (pow x 6) (+ 1/108 (* -1/864 (pow x 2))))))
(* x (+ 8 (* (pow x 6) (+ 1/108 (* (pow x 2) (- (* 1/10368 (pow x 2)) 1/864))))))
(/ 13824 (pow x 5))
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (/ 11943936 (pow x 4)))) (pow x 5))
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (+ (* 262766592 (/ 1 (pow x 6))) (/ 11943936 (pow x 4))))) (pow x 5))
(/ 13824 (pow x 5))
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))
(* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5)))
(* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5)))
(* 1/8 x)
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(* 1/13824 (pow x 7))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/13824 (pow x 7))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
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(/.f64 (+.f64 #s(literal 13824 binary64) (/.f64 #s(literal 497664 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))
(* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5)))
(/.f64 (+.f64 #s(literal 13824 binary64) (/.f64 (+.f64 #s(literal 497664 binary64) (/.f64 #s(literal 11943936 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5)))
(/.f64 (+.f64 (+.f64 #s(literal 13824 binary64) (/.f64 #s(literal 497664 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 11943936 binary64) (/.f64 #s(literal 262766592 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64))))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64))))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 7))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64)))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 7))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64)))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))

eval205.0ms (2.3%)

Memory: 30.9MiB live, 334.7MiB allocated
Compiler: Compiled 94 151 to 2 981 computations (96.8% saved)

prune139.0ms (1.6%)

Memory

-25.0MiB live, 235.1MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 096	2	1 098
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	1 099	7	1 106

Accuracy

100.0%

Counts

1 106 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.7%	(/.f64 x #s(literal 2 binary64))
✓	48.8%	(-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
✓	48.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
▶	48.1%	(.f64 x (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
▶	48.7%	(.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	7.7%	#s(literal 1 binary64)

Compiler

Compiled 85 to 54 computations (36.5% saved)

simplify311.0ms (3.5%)

Memory

-16.3MiB live, 496.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
✓	cost-diff	(/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))
✓	cost-diff	(.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
✓	cost-diff	(.f64 x (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	cost-diff	(.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))
✓	cost-diff	(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))
✓	cost-diff	(.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
✓	cost-diff	(.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))

Rules

8 168×	`accelerator-lowering-fma.f32`
8 168×	`accelerator-lowering-fma.f64`
4 546×	`-lowering-.f32`
4 546×	`-lowering-.f64`
2 900×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	218
1	81	198
2	325	198
3	1083	198
4	2207	198
5	4409	198
0	8139	178

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* 2 (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))
x
(* 2 (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48))))
2
(- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))
1/4
(* (* x x) (- (* (* x x) 1/576) 1/48))
(* x x)
(- (* (* x x) 1/576) 1/48)
(* (* x x) 1/576)
1/576
1/48
(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
x
(* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
1/4
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
1/8
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(* 1/13824 (* x (* x x)))
1/13824
(* x (* x x))
(* x x)
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(+ (* (* x x) 1/576) 1/48)
(* (* x x) 1/576)
1/576
1/48

Outputs
(* x (* 2 (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))
(.f64 (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 x #s(literal -2 binary64)))
x
(* 2 (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))))
2
#s(literal 2 binary64)
(- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))))
1/4
#s(literal 1/4 binary64)
(* (* x x) (- (* (* x x) 1/576) 1/48))
(.f64 (.f64 x x) (-.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))
(* x x)
(*.f64 x x)
(- (* (* x x) 1/576) 1/48)
(+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64))
(* (* x x) 1/576)
(.f64 x (.f64 x #s(literal 1/576 binary64)))
1/576
#s(literal 1/576 binary64)
1/48
#s(literal 1/48 binary64)
(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))) (.f64 x #s(literal 1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/13824 binary64))))))
x
(* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/13824 binary64))))))
(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/13824 binary64))))))
1/4
#s(literal 1/4 binary64)
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))))
1/8
#s(literal 1/8 binary64)
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(.f64 x (.f64 x (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 1/13824 (* x (* x x)))
(.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x)))
1/13824
#s(literal 1/13824 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))
(+ (* (* x x) 1/576) 1/48)
(+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))
(* (* x x) 1/576)
(.f64 x (.f64 x #s(literal 1/576 binary64)))
1/576
#s(literal 1/576 binary64)
1/48
#s(literal 1/48 binary64)

localize87.0ms (1%)

Memory

36.6MiB live, 158.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	99.1%	(.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	76.1%	(.f64 x (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	accuracy	55.2%	(.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/576 binary64))

Samples

51.0ms

256×

valid

Compiler

Compiled 244 to 26 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 19.0ms (49.5% of total)

const: 10.0ms (26% of total)

ival-sub: 4.0ms (10.4% of total)

ival-div: 2.0ms (5.2% of total)

ival-add: 2.0ms (5.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

-28.4MiB live, 9.7MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (* x (* 2 (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))>
#<alt (* 2 (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48))))>
#<alt (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))>
#<alt (* (* x x) (- (* (* x x) 1/576) 1/48))>
#<alt (* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))>
#<alt (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))>
#<alt (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))>
#<alt (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))>
#<alt (* (* x x) 1/576)>
#<alt (- (* (* x x) 1/576) 1/48)>
#<alt (* 1/13824 (* x (* x x)))>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2))))))>
#<alt (* -1/288 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/288))>
#<alt (* (pow x 5) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))>
#<alt (* (pow x 5) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))>
#<alt (* -1/288 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/288 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 1/288 (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 1/288 (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2)))))>
#<alt (* -1/288 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/288))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))>
#<alt (* -1/288 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/288))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/48 (pow x 2)))>
#<alt (+ 1/4 (* (pow x 2) (+ 1/48 (* -1/576 (pow x 2)))))>
#<alt (+ 1/4 (* (pow x 2) (+ 1/48 (* -1/576 (pow x 2)))))>
#<alt (* -1/576 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/576))>
#<alt (* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))>
#<alt (* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))>
#<alt (* -1/576 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/576))>
#<alt (* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))>
#<alt (* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))>
#<alt (* -1/48 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 2)) 1/48))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 2)) 1/48))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 2)) 1/48))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))>
#<alt (/ -6 x)>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)>
#<alt (/ -6 x)>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) x))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/864 (pow x 6)))>
#<alt (+ 2 (* (pow x 6) (+ 1/864 (* 1/1492992 (pow x 6)))))>
#<alt (+ 2 (* (pow x 6) (+ 1/864 (* (pow x 6) (+ 1/1492992 (* 1/2579890176 (pow x 6)))))))>
#<alt (/ -3456 (pow x 6))>
#<alt (* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))>
#<alt (/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))>
#<alt (/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ -3456 (pow x 6))>
#<alt (* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))>
#<alt (/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))>
#<alt (/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1/8>
#<alt (+ 1/8 (* -1/13824 (pow x 6)))>
#<alt (+ 1/8 (* -1/13824 (pow x 6)))>
#<alt (+ 1/8 (* -1/13824 (pow x 6)))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt -1/48>
#<alt (- (* 1/576 (pow x 2)) 1/48)>
#<alt (- (* 1/576 (pow x 2)) 1/48)>
#<alt (- (* 1/576 (pow x 2)) 1/48)>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* x (* 2 (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))
1.0ms	x	@	0	(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
0.0ms	x	@	inf	(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
0.0ms	x	@	inf	(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
0.0ms	x	@	0	(* x (* 2 (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))

rewrite568.0ms (6.4%)

Memory

-10.5MiB live, 651.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 132×	`accelerator-lowering-fma.f32`
7 132×	`accelerator-lowering-fma.f64`
5 220×	`-lowering-.f32`
5 220×	`-lowering-.f64`
3 508×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	153
1	146	137
2	1290	137
0	8603	121

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 708

Calls

Call 1

Inputs
(* x (* 2 (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))))
(* 2 (- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48))))
(- 1/4 (* (* x x) (- (* (* x x) 1/576) 1/48)))
(* (* x x) (- (* (* x x) 1/576) 1/48))
(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(* (* x x) 1/576)
(- (* (* x x) 1/576) 1/48)
(* 1/13824 (* x (* x x)))

Outputs
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))) #s(literal 2 binary64)) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64))))))) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 x (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64))))) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))))))))
(/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))))))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64))))))))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))))))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))))))) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))) (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (.f64 x #s(literal 2 binary64)))))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))))))
(.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) x))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (.f64 x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) x)
(.f64 (.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))
(.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))))))))
(.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/48 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))) #s(literal 2 binary64)))
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(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/331776 binary64))) #s(literal -1/2304 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/331776 binary64))) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 x x) #s(literal 1/27648 binary64)))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/13824 binary64)))
(.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
(.f64 (.f64 x #s(literal 1/13824 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal 1/13824 binary64) (*.f64 x x)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/13824 binary64)) x) x)

simplify304.0ms (3.4%)

Memory

4.5MiB live, 482.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 180×	`accelerator-lowering-fma.f32`
8 180×	`accelerator-lowering-fma.f64`
4 008×	`-lowering-.f32`
4 008×	`-lowering-.f64`
2 114×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1230
1	451	1228
2	1155	1211
3	2654	1208
4	5794	1208
0	8147	1128

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2))))))
(* -1/288 (pow x 5))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/288))
(* (pow x 5) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(* (pow x 5) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(* -1/288 (pow x 5))
(* -1 (* (pow x 5) (- 1/288 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/288 (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/288 (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2)))))
(* -1/288 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/288))
(* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(* -1/288 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/288))
(* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
1/4
(+ 1/4 (* 1/48 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/48 (* -1/576 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/48 (* -1/576 (pow x 2)))))
(* -1/576 (pow x 4))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/576))
(* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))
(* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))
(* -1/576 (pow x 4))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/576))
(* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))
(* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))
(* -1/48 (pow x 2))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/48))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/48))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/48))
(* 1/576 (pow x 4))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* 1/576 (pow x 4))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))
(/ -6 x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)
(/ -6 x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) x))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
2
(+ 2 (* 1/864 (pow x 6)))
(+ 2 (* (pow x 6) (+ 1/864 (* 1/1492992 (pow x 6)))))
(+ 2 (* (pow x 6) (+ 1/864 (* (pow x 6) (+ 1/1492992 (* 1/2579890176 (pow x 6)))))))
(/ -3456 (pow x 6))
(* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))
(/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))
(/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))
(/ -3456 (pow x 6))
(* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))
(/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))
(/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))
1/8
(+ 1/8 (* -1/13824 (pow x 6)))
(+ 1/8 (* -1/13824 (pow x 6)))
(+ 1/8 (* -1/13824 (pow x 6)))
(* -1/13824 (pow x 6))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* -1/13824 (pow x 6))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
-1/48
(- (* 1/576 (pow x 2)) 1/48)
(- (* 1/576 (pow x 2)) 1/48)
(- (* 1/576 (pow x 2)) 1/48)
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/288 binary64))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/288 binary64))))))
(* -1/288 (pow x 5))
(.f64 (.f64 (.f64 x x) #s(literal -1/288 binary64)) (.f64 x (*.f64 x x)))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/288))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/288 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 5) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal -1/288 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal -1/288 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1/288 (pow x 5))
(.f64 (.f64 (.f64 x x) #s(literal -1/288 binary64)) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 5) (- 1/288 (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/288 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (+ 1/288 (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/288 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (+ 1/288 (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/288 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/288 binary64)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/288 binary64)))))
(* -1/288 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/288 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/288))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/288 binary64))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/288 binary64)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/288 binary64)))))
(* -1/288 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/288 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/288))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/288 binary64))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/288 binary64)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))) 1/288))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/288 binary64)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/48 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))
(+ 1/4 (* (pow x 2) (+ 1/48 (* -1/576 (pow x 2)))))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/576 binary64))))))
(+ 1/4 (* (pow x 2) (+ 1/48 (* -1/576 (pow x 2)))))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/576 binary64))))))
(* -1/576 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/576))
(.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/576 binary64)))))
(* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/576 binary64))))))
(* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/576 binary64))))))
(* -1/576 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/576))
(.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/576 binary64)))))
(* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/576 binary64))))))
(* (pow x 4) (- (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/576 binary64))))))
(* -1/48 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/48 binary64))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/48))
(.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/48))
(.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/48))
(.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* 1/576 (pow x 4))
(.f64 x (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* 1/576 (pow x 4))
(.f64 x (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 4) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/288 binary64))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/288 binary64) (.f64 x (*.f64 x #s(literal 1/3456 binary64))))))))))
(/ -6 x)
(/.f64 #s(literal -6 binary64) x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 #s(literal -864 binary64) (/.f64 #s(literal -10368 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -72 binary64) (*.f64 x x)))) x)
(/ -6 x)
(/.f64 #s(literal -6 binary64) x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) x))
(/.f64 (+.f64 #s(literal -6 binary64) (-.f64 (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (.f64 x x))) (.f64 x x)) (/.f64 #s(literal 10368 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/288 binary64)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/288 binary64) (.f64 x (.f64 x #s(literal 1/3456 binary64)))))))))
(/ -6 (pow x 2))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 #s(literal -864 binary64) (/.f64 #s(literal -10368 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -72 binary64) (.f64 x x)))) (.f64 x x))
(/ -6 (pow x 2))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 #s(literal -864 binary64) (/.f64 #s(literal -10368 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -72 binary64) (.f64 x x)))) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 1/864 (pow x 6)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/864 binary64)))
(+ 2 (* (pow x 6) (+ 1/864 (* 1/1492992 (pow x 6)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/864 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1492992 binary64)))))
(+ 2 (* (pow x 6) (+ 1/864 (* (pow x 6) (+ 1/1492992 (* 1/2579890176 (pow x 6)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/864 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/1492992 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2579890176 binary64)))))))
(/ -3456 (pow x 6))
(/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))
(/.f64 (+.f64 #s(literal -3456 binary64) (/.f64 #s(literal -5971968 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))
(/.f64 (-.f64 #s(literal -3456 binary64) (/.f64 (+.f64 #s(literal 5971968 binary64) (/.f64 #s(literal 10319560704 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 #s(literal -3456 binary64) (-.f64 (/.f64 #s(literal -5971968 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 10319560704 binary64) (/.f64 #s(literal 17832200896512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ -3456 (pow x 6))
(/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))
(/.f64 (+.f64 #s(literal -3456 binary64) (/.f64 #s(literal -5971968 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))
(/.f64 (-.f64 #s(literal -3456 binary64) (/.f64 (+.f64 #s(literal 5971968 binary64) (/.f64 #s(literal 10319560704 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 #s(literal -3456 binary64) (-.f64 (/.f64 #s(literal -5971968 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 10319560704 binary64) (/.f64 #s(literal 17832200896512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/13824 (pow x 6)))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(+ 1/8 (* -1/13824 (pow x 6)))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(+ 1/8 (* -1/13824 (pow x 6)))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(* -1/13824 (pow x 6))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(* -1/13824 (pow x 6))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
-1/48
#s(literal -1/48 binary64)
(- (* 1/576 (pow x 2)) 1/48)
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(- (* 1/576 (pow x 2)) 1/48)
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(- (* 1/576 (pow x 2)) 1/48)
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/48 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))

eval136.0ms (1.5%)

Memory: 19.0MiB live, 237.8MiB allocated
Compiler: Compiled 46 442 to 3 217 computations (93.1% saved)

prune112.0ms (1.3%)

Memory

-2.3MiB live, 229.9MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	850	6	856
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	851	12	863

Accuracy

100.0%

Counts

863 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(/.f64 (.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))) x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/13824 binary64))))))
✓	48.7%	(/.f64 x #s(literal 2 binary64))
	2.6%	(/.f64 #s(literal -6 binary64) x)
✓	48.8%	(-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
	3.4%	(.f64 (.f64 (.f64 x x) #s(literal -1/288 binary64)) (.f64 x (*.f64 x x)))
	2.5%	(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
✓	48.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
	48.1%	(.f64 x (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/13824 binary64)) x) x) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	48.1%	(.f64 x (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
	1.0%	(.f64 x (.f64 (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	7.7%	#s(literal 1 binary64)

Compiler

Compiled 577 to 213 computations (63.1% saved)

regimes13.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 x x) #s(literal -1/288 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/13824 binary64)) x) x) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))) x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/13824 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))

Calls

2 calls:

5.0ms	x
5.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

-27.4MiB live, 11.7MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 x x) #s(literal -1/288 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/13824 binary64)) x) x) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))) x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/13824 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))

Outputs
(-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
#s(literal 1 binary64)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
52.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 x x) #s(literal -1/288 binary64)) (.f64 x (*.f64 x x)))

Outputs
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
#s(literal 1 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
52.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))

Outputs
(/.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
52.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Accuracy

Total -3.9b remaining (-6.5%)

Threshold costs -3.9b (-6.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
7.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch31.0ms (0.3%)

Memory

-27.6MiB live, 33.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.00028314065683741527	211482799811501.8

Samples

24.0ms

160×

valid

Compiler

Compiled 171 to 130 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (40.1% of total)

ival-sin: 4.0ms (40.1% of total)

ival-sub: 1.0ms (10% of total)

ival-div: 1.0ms (10% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory

-6.2MiB live, 32.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.00028314065683741527	211482799811501.8

Samples

15.0ms

160×

valid

Compiler

Compiled 151 to 120 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (40.3% of total)

ival-sin: 4.0ms (40.3% of total)

ival-sub: 1.0ms (10.1% of total)

ival-div: 1.0ms (10.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory

31.9MiB live, 31.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.00028314065683741527	211482799811501.8

Samples

13.0ms

160×

valid

Compiler

Compiled 91 to 80 computations (12.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (41% of total)

ival-sin: 4.0ms (41% of total)

ival-sub: 1.0ms (10.2% of total)

ival-div: 1.0ms (10.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory

-23.6MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	43
1	33	43
2	41	43
3	47	43
4	52	43
5	54	43

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness582.0ms (6.5%)

Memory

2.6MiB live, 351.5MiB allocated

Rules

19 148×	`accelerator-lowering-fma.f32`
19 148×	`accelerator-lowering-fma.f64`
7 928×	`accelerator-lowering-fma.f32`
7 928×	`accelerator-lowering-fma.f64`
4 610×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	35	12
2	241	12
3	2351	11
0	8884	11
0	79	286
1	224	286
2	555	280
3	1656	280
4	3000	280
5	4243	280
6	4592	280
7	5323	280
8	6815	280
0	8390	256
0	13	32
1	58	32
2	298	32
3	2193	32
0	8193	30

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 93 to 59 computations (36.6% saved)

preprocess61.0ms (0.7%)

Memory: 19.3MiB live, 95.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 124 to 72 computations (41.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

Iter	Nodes	Cost
0	6	14
1	16	14
2	22	14
3	33	14
4	54	14
5	77	14
6	110	14
7	184	14
8	307	14
9	515	14
10	557	14
11	560	14
12	568	14
13	574	14
14	578	14
15	585	14
16	592	14
17	593	14
0	593	14

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

Iter	Nodes	Cost
0	6	14
1	16	14
2	22	14
3	33	14
4	54	14
5	77	14
6	110	14
7	184	14
8	307	14
9	515	14
10	557	14
11	560	14
12	568	14
13	574	14
14	578	14
15	585	14
16	592	14
17	593	14
0	593	14

analyze120.0ms (1.4%)

sample1.8s (20.7%)

preprocess52.0ms (0.6%)

explain208.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.3%)

localize55.0ms (0.6%)

series3.0ms (0%)

rewrite375.0ms (4.2%)

simplify501.0ms (5.6%)

eval102.0ms (1.1%)

prune250.0ms (2.8%)

simplify13.0ms (0.1%)

localize48.0ms (0.5%)

series5.0ms (0.1%)

rewrite431.0ms (4.8%)

simplify350.0ms (3.9%)

eval45.0ms (0.5%)

prune45.0ms (0.5%)

simplify419.0ms (4.7%)

localize237.0ms (2.7%)

series26.0ms (0.3%)

rewrite535.0ms (6%)

simplify594.0ms (6.7%)

eval205.0ms (2.3%)

prune139.0ms (1.6%)

simplify311.0ms (3.5%)

localize87.0ms (1%)

series11.0ms (0.1%)

rewrite568.0ms (6.4%)

simplify304.0ms (3.4%)

eval136.0ms (1.5%)

prune112.0ms (1.3%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch31.0ms (0.3%)

bsearch21.0ms (0.2%)

bsearch20.0ms (0.2%)

simplify11.0ms (0.1%)

soundness582.0ms (6.5%)

preprocess61.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

Iter	Nodes	Cost
0	6	14
1	16	14
2	22	14
3	33	14
4	54	14
5	77	14
6	110	14
7	184	14
8	307	14
9	515	14
10	557	14
11	560	14
12	568	14
13	574	14
14	578	14
15	585	14
16	592	14
17	593	14
0	593	14